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Finding the Fourth Proportional to 384.08, 528.68 and 344.09

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Solution

The fourth proportional to 384.08, 528.68 and 344.09 is: 473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 528.68 = 344.09 : x
  2. Step 2: Convert to fraction form
    384.08/528.68 = 344.09/x
  3. Step 3: Cross multiply
    384.08x = 528.68 × 344.09
  4. Step 4: Simplify right side
    384.08x = 181,915.68
  5. Step 5: Solve for x
    x = 181,915.68/384.08
  6. Step 6: Final answer
    x = 473.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.